Wow! eBook
ALGEBRAIC INVARIANTS OF LINKS
Author(s): Dr Jonathan Hillman (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: October 9, 2002
- Edition: 1st
- Language: English
- Print length: 320 pages
- ISBN-10: 9812381546
- ISBN-13: 9789812381545
Book Description
This book is intended as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes features of the multicomponent case not normally considered by knot theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, free coverings of homology boundary links, the fact that links are not usually boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology.
Editorial Reviews
Review
Algebraic Invariants of Links is masterful, offering a survey of work, much of which has not been summarized elsewhere. It is an essential reference for those interested in link theory it is unique and valuable. -- Bulletin of the American Mathematical Society "Bulletin of the American Mathematical Society"
The author, who is one of the major experts on the topic, must be surely congratulated for this attractive book, written in a careful, very precise and quite readable style. It serves as an excellent self-contained and up-to-date monograph on the algebraic invariants of links. -- Mathematics Abstracts "Mathematics Abstracts"
